Posted by Samantha on Monday, April 16, 2012 at 12:46pm.
I need help trying to write out these binomial expansions: they all need to be raised to the 8th power. Thanks
1. (x + y) 2. (w + z) 3. (x  y) 4. (2a + 3b)
 Now explain how your answer for #1 could be used as a formula to help you answer each of the other items. In each case, for #2, 3 and 4, tell what would x equal and what would y equal.
 Without writing out the whole polynomial, find the 16th term is (x + y)19. Explain how you constructed it.

Math  Steve, Monday, April 16, 2012 at 1:36pm
Recall your Pascal's triangle for the expansion of (a+b)^n
On the nth row, you have the kth element: C(n,k)a^(nk+1)b^(k1)
That is, on the 8th row you have
C(8,0)a^8b^0 C(8,1)a^7b^1 . . .
= a^8 + 8a^7b + 28a^6b^2 + ... + 28a^2b^6 + 8ab^7 + b^8
There are lots of places online where you can find Pascal's triangle.
So, for this problem, the 16th term of the 19th row is
C(19,15)(2a)^4(3b)^15 = 3876(2a)^4(3b)^15
= 3876(2^5)(3^14)a^4b^15
= 3876(16)(14348907)a^4b^15
= 889861816512a^4b^15
=

Math  PS  Steve, Monday, April 16, 2012 at 1:37pm
Oops. It was just (x+y)^19. My bad.
C(19,15)x^4(y^15 = 3876x^4y^15
Answer This Question
Related Questions
 LA a book summary help  i need to do a book summary about the last apprentice...
 math help pls pls pls  Choose the correct simplification of the expression the ...
 math  The question that have is to simplify and write the answer in ...
 english  I really need help with the other worlds unit test essay. I've been on...
 PreAlgebra  Find each product or Quotient. Express using exponents. 1. The ...
 8th Grade Algebra  (b^210b+21)/(b^211b+28) I need help trying to figure out ...
 8th grade mathexponents  I can't quite write the problem, so I'll try to ...
 8th grade mathexponents  I can't quite write the problem, so I'll try to ...
 Statiatics  Need help please. Determine whether each experiment is a binomial ...
 ALGEBRA 1  ok the question is Describe how you would help a friend who needs to...
More Related Questions